HIGHER SPIN CONSTRAINTS AND THE SUPER (W-INFINITY 2-CIRCLE-PLUS-W-1+INFINITY/2) ALGEBRA IN THE SUPER EIGENVALUE MODEL/

We show that the partition function of the super eigenvalue model sati sfies, for finite N (non-perturbatively), an infinite set of constrain ts with even spins s = 4, 6,...,infinity. These constraints are associ ated with half of the bosonic generators of the super (W-infinity/2 ci rcle divide W-1+infinity/2) algebra. The simplest constraint (s = 4) i s shown to be reducible to the super Virasoro constraints, previously used to construct the model.